Data acquisition & sampling worksheet with answers

Free printable Data acquisition & sampling worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
Vin​N = 1410 V2ᴺ − 101 LSB

A 14-bit ADC that rounds to the nearest code has an input range of 0 to 10 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 14VFSR = 10 V
eq,max = mV
2.Easy
Vin​N = 125 V2ᴺ − 101 LSB

A 12-bit ADC that rounds to the nearest code has an input range of 0 to 5 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 12VFSR = 5 V
eq,max = mV
3.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​PTb​12·Tb​1200 Bd, 8E2

A UART sends bytes at 1200 baud in the format 8E2: 8 data bits, an even parity bit and 2 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 1200 Bd8E2
RB = B/s
4.Medium
124⋮4 ch∿01N = 1250 kHz? MB

A recorder samples 4 channels at 50 kHz each with a 12-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 1 min recording, in MB (1 MB = 10⁶ bytes).

n = 4fs = 50 kHzN = 12t = 1 min
M = MB
5.Hard
f0fs​/2fs​1.1 kHz3f₁?

A 1.1 kHz square wave is sampled at 5 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency fa does its harmonic 3f₁ appear in the sampled data? Give it in Hz.

f₁ = 1.1 kHzfs = 5 kHzharmonic: 3f₁
fa = Hz
6.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​57600 Bd, 8N1

A 16-bit ADC streams every sample over a UART at 57600 baud, format 8N1 (start bit, 8 data bits, 1 stop bit). Each sample is sent as 2 whole byte(s) and the link is busy all the time. Find the highest signal frequency fmax that can be sampled without aliasing, in Hz.

baud = 57600 BdN = 168N1
fmax = Hz

Answer key

  1. 1. eq,max = 0.3052 mV
  2. 2. eq,max = 0.6104 mV
  3. 3. RB = 100 B/s
  4. 4. M = 24 MB
  5. 5. fa = 1700 Hz
  6. 6. fmax = 1440 Hz

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